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275010264 = 233223712339
BaseRepresentation
bin10000011001000…
…101001011011000
3201011110222011100
4100121011023120
51030400312024
643142231400
76546356124
oct2031051330
9634428140
10275010264
11131266311
1278125560
1344c8b489
142874a584
15192247c9
hex106452d8

275010264 has 96 divisors (see below), whose sum is σ = 788486400. Its totient is φ = 86412480.

The previous prime is 275010217. The next prime is 275010319. The reversal of 275010264 is 462010572.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116407 + ... + 118745.

It is an arithmetic number, because the mean of its divisors is an integer number (8213400).

Almost surely, 2275010264 is an apocalyptic number.

275010264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275010264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394243200).

275010264 is an abundant number, since it is smaller than the sum of its proper divisors (513476136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

275010264 is a wasteful number, since it uses less digits than its factorization.

275010264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 275010264 is about 16583.4334201335. The cubic root of 275010264 is about 650.3038137921.

The spelling of 275010264 in words is "two hundred seventy-five million, ten thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 71 72 92 138 142 184 207 213 276 284 414 426 552 568 639 828 852 1278 1633 1656 1704 2339 2556 3266 4678 4899 5112 6532 7017 9356 9798 13064 14034 14697 18712 19596 21051 28068 29394 39192 42102 53797 56136 58788 84204 107594 117576 161391 166069 168408 215188 322782 332138 430376 484173 498207 645564 664276 968346 996414 1291128 1328552 1494621 1936692 1992828 2989242 3819587 3873384 3985656 5978484 7639174 11458761 11956968 15278348 22917522 30556696 34376283 45835044 68752566 91670088 137505132 275010264